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Finding the Third Proportional to 428,034 and 662,430

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Solution

The third proportional to 428,034 and 662,430 is: 1,025,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,034 : 662,430 = 662,430 : x
  2. Step 2: Convert to fraction form
    428,034/662,430 = 662,430/x
  3. Step 3: Cross multiply
    428,034x = 662,430 × 662,430
  4. Step 4: Simplify right side
    428,034x = 438,813,504,900
  5. Step 5: Solve for x
    x = 438,813,504,900/428,034
  6. Step 6: Final answer
    x = 1,025,183.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.